The plane truss shown in figure 1.19 consists of three members connected to each other and to the walls by pin joints. The members make equal angles with each other, and element 2 is vertical. The members are identical to each other with the following properties: Young's modulus \(E=206 \times 10^{9} \mathrm{~Pa}\), crosssectional area \(A=1 \times 10^{-4} \mathrm{~m}^{2}\), and length \(L=1 \mathrm{~m}\). An inclined force \(F=20,000 \mathrm{~N}\) is applied at node 1 . Solve for the displacements at Node 1 and stresses in the three elements.